Chapter 11.3, Problem 38E

(a)

To determine

To Describe: The rotation symmetry of piece $1and2.$

Answer to Problem 38E

  ${180}^{°}$

Explanation of Solution

Given:

  

Piece $1and2$ has the rotational symmetry of ${180}^{°}$ .

(b)

To determine

To Describe: You pick piece $1$ . How many different ways can it fit in the puzzle?

Answer to Problem 38E

  $2ways.$

Explanation of Solution

Given:

  

Piece $1and2$ has the rotational symmetry of ${180}^{°}$ .

Thus

We have two different ways to fit in the puzzle.

(c)

To determine

To Describe: Before putting piece $1$ in the puzzle you connect it to piece two.How many different ways can it fit in the puzzle?

Answer to Problem 38E

  $1ways.$

Explanation of Solution

Given:

  

When we connect piece $1and2$ there is only one way to fit the puzzle.

Thus

We have only one ways to fit in the puzzle.